 About 454 results  books.google.com 
 books.google.com Then c(xi Orthogonal polynomials are also known to satisfy the Christoffel
Darboux identity which is proved from the threeterms recurrence relationship. An
interesting open question was to know whether or not biorthogonal polynomials
or ... 

 books.google.com D Corollary 3.3 is a useful identity, and can be proved without recourse to
Theorem 1.2. ... ChristoffelDarboux. Identity. The identity we are about to derive
looks somewhat complicated at first, and its proof is so short that it is difficult to
believe ... 

 books.google.com In 1861, Darboux entered the École Polytechnique, and then the École Normale
Supérieure, one of the most ... theorem in real analysis, the Christoffel–Darboux
identity, the Christoffel–Darboux formula, Darboux's formula, the Darboux vector,
... 

 books.google.com 416 ChristoffelDarboux Formula Chromatic Number But ^_dx"dx:0x^ = 0 (43) dxv
dr dr dc (5) (44) so &i dV / d2^ faS\ dx" ... ChristoffelDarboux Identity (1) where <t
>h(x) are ORTHOGONAL POLYNOMIALS with WEIGHTING FUNCTION W(x), ... 

 books.google.com ... 126, 129 Chebyshev weight function of the first kind, 111 Cholesky
factorization, 136, 137 ChristoffelDarboux identities, 211 ChristoffelDarboux
type formula, 207 for Szegő polynomials, 203 mixed, 203 ChristoffelDarboux
type identity, viii, ... 

 books.google.com ... identity 161, 163, 164, 180, 181, 184, 187, 223, 224 Binomial sequence xvi, 1,
2, 331 Borel probability measure xxi, 18, 248, 249 Borel set 89, 90 BorelStieltjes
measure 90 Burchnall type identity xxii, 145, 182 ChristoffelDarboux identity ... 

 books.google.com Mourad Ismail. Note that we have actually proved that G* =01 •"&>□ (22.3)
Theorem 2.2.2 The ChristoffelDarboux identities hold for N > 0 ^ Pk{x)Pk{y) = PN
(x)PN.l(y)  PN(y)PN_1(x) } y^1 /£(*) = P'N(x)PN.1(x)PN(x)P'N_1(x) 2 ... 

 books.google.com THE CHRISTOFFELDARBOUX IDENTITY FOR MATRIX ORTHONORMAL
POLYNOMIALS AMILCAR BRANQUINHO Dedicated to Professor J. A. Sampaio
Martins on the occasion of his sixtieth birthday Abstract. In this work we show that
the ... 

 books.google.com D Theorem 2.1 (The Christoffel—Darboux Identity). For N > 0 we have N= 1 PN(x)
PW_1(y) – PN(y)PN_1(x) 2. :^000)  ON_1(x y) • (2.8) Proof. After replacing Qi (x)
with P1(x) in (2.4), we multiply both sides of the resulting relation by P.(y), ... 

 